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GCF of 462/41, 610/783

Created By : Veerendra
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023

Use our free GCF of Fractions Calculator tool to compute the GCF of 462/41, 610/783 i.e 2/32103 easily. The following is the detailed procedure to determine the greatest common factor of fractions 462/41, 610/783.

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

GCF of:

What is the GCF of 462/41,610/783?

Given fractions are 462/41,610/783

To find the GCF of fractions, we have to find the GCF of numerator numbers and LCM of denominator numbers. Its formula is given by

GCF of Fraction = Greatest Common Factor of Numerator/Least Common Multiple of Denominators

In the fractions 462/41,610/783, numerators are 462,610

Denominators are 41,783

The GCF of 462,610 is 2 .

LCM of 41,783 is 32103.

The greatest common factor of 462/41,610/783 = [GCF of 462,610]/[LCM of 41,783]= 2/32103

Therefore, the GCF of 462/41,610/783 is 2/32103.

Greatest Common Factor of 462,610

To find the highest common factor of 462,610, we have to find the factors of both numbers and list the highest common factor.

The factors of 462 are 1, 2, 3, 6, 7, 11, 14, 21, 22, 33, 42, 66, 77, 154, 231, 462

The factors of 610 are 1, 2, 5, 10, 61, 122, 305, 610

The HCF of 462,610 is 2.

Lets's calculate GCF of 462,610

Greatest Common Factor (GCF) of 462,610 By Common Division

2 462, 610
231, 305

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 462,610 By Matching Biggest Common Factor Method

Greatest Common Factor of 462,610 By Matching Biggest Common Factor Method

Now, list down the factors of 462

:

1,2,3,6,7,11,14,21,22,33,42,66,77,154,231,462

Now, list down the factors of 610

:

1,2,5,10,61,122,305,610

Greatest Common Factor

We found the factors 462,610 . The biggest common factor number is the GCF number.
So the greatest common factor 462,610 is 2.

Lets's calculate LCM of 41,783

Lowest Common Multiple of 41,783 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 32103

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/32103

Therefore, the GCF of Fractions 462/41,610/783 is 2/32103

Least Common Multiple of 41,783 with GCF Formula

Least Common Multiple of 41,783 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 41,783 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(41,783) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(41,783) x common factors =1 x 1 = 1

LCM(41,783) = ( 41 × 783 ) / 1

LCM(41,783) = 32103 / 1

LCM(41,783) = 32103


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FAQs on GCF of Fractions of 462/41, 610/783

1. What is the HCF of 462,610?

The HCF of 462,610 is 2

2. What is the GCF of a fraction?

The GCF of a fraction is defined as the greatest fraction that divides exactly into 2 or more fractions.

3. How to find GCF in Fractions?

Answer: GCF of fractions can be found using the simple formula GCF of Fractions = GCF of Numerators/LCM of Denominators.

4. What is the GCF of Fractions for 462/41, 610/783?

Answer: GCF of Numerators as per given numbers 462/41, 610/783 is

GCF of Numerators i.e. for 462,610 is 2

LCM of denominators i.e. for 41,783 is 32103.

Thus, GCF of Fractions is 2/32103.Finally, GCF of Fractions for 462/41, 610/783 is 2/32103.